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<div class="title">fluid_dynamics_complex.hpp</div>  </div>
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<a href="fluid__dynamics__complex_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;</div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#pragma once</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="fluid__dynamics__complex_8h.html">fluid_dynamics_complex.h</a>&quot;</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_s_p_h.html">SPH</a></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;{</div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>fluid_dynamics</div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    {</div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseRelaxationType&gt;</div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseBodyRelationType&gt;</div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        RelaxationWithWall&lt;BaseRelaxationType&gt;::</div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;            RelaxationWithWall(BaseBodyRelationType &amp;base_body_relation,</div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                               BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;            : <a class="code" href="class_s_p_h_1_1eulerian__compressible__fluid__dynamics_1_1_base_relaxation_type.html">BaseRelaxationType</a>(base_body_relation), FluidWallData(wall_contact_relation)</div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        {</div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;            <span class="keywordflow">if</span> (base_body_relation.sph_body_ != wall_contact_relation.sph_body_)</div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;            {</div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                std::cout &lt;&lt; <span class="stringliteral">&quot;\n Error: the two body_relations do not have the same source body!&quot;</span> &lt;&lt; std::endl;</div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                std::cout &lt;&lt; __FILE__ &lt;&lt; <span class="charliteral">&#39;:&#39;</span> &lt;&lt; __LINE__ &lt;&lt; std::endl;</div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                exit(1);</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;            }</div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k != FluidWallData::contact_particles_.size(); ++k)</div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            {</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                Real rho0_k = FluidWallData::contact_particles_[k]-&gt;rho0_;</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                wall_inv_rho0_.push_back(1.0 / rho0_k);</div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                wall_mass_.push_back(&amp;(FluidWallData::contact_particles_[k]-&gt;mass_));</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                wall_Vol_.push_back(&amp;(FluidWallData::contact_particles_[k]-&gt;Vol_));</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                wall_vel_ave_.push_back(FluidWallData::contact_particles_[k]-&gt;AverageVelocity());</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                wall_acc_ave_.push_back(FluidWallData::contact_particles_[k]-&gt;AverageAcceleration());</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                wall_n_.push_back(&amp;(FluidWallData::contact_particles_[k]-&gt;n_));</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;            }</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        }</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> DensitySummationInnerType&gt;</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        DensitySummation&lt;DensitySummationInnerType&gt;::</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            DensitySummation(BaseBodyRelationInner &amp;inner_relation, BaseBodyRelationContact &amp;contact_relation)</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            : ParticleDynamicsComplex&lt;DensitySummationInnerType, FluidContactData&gt;(inner_relation, contact_relation)</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        {</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            prepareContactData();</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        }</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> DensitySummationInnerType&gt;</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        DensitySummation&lt;DensitySummationInnerType&gt;::</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            DensitySummation(ComplexBodyRelation &amp;complex_relation)</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            : DensitySummation(complex_relation.inner_relation_, complex_relation.contact_relation_) {}</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> DensitySummationInnerType&gt;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        DensitySummation&lt;DensitySummationInnerType&gt;::</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            DensitySummation(ComplexBodyRelation &amp;complex_relation, BaseBodyRelationContact &amp;extra_contact_relation)</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            : ParticleDynamicsComplex&lt;DensitySummationInnerType, FluidContactData&gt;(complex_relation, extra_contact_relation)</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        {</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            prepareContactData();</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        }</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> DensitySummationInnerType&gt;</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordtype">void</span> DensitySummation&lt;DensitySummationInnerType&gt;::prepareContactData()</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        {</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k != this-&gt;contact_particles_.size(); ++k)</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            {</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                Real rho0_k = this-&gt;contact_particles_[k]-&gt;rho0_;</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                contact_inv_rho0_.push_back(1.0 / rho0_k);</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                contact_mass_.push_back(&amp;(this-&gt;contact_particles_[k]-&gt;mass_));</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            }</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        }</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> DensitySummationInnerType&gt;</div><div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1fluid__dynamics_1_1_density_summation.html#a7ecc6454a2f9fad88aa13667fcacfe5e">   76</a></span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_density_summation.html#a7ecc6454a2f9fad88aa13667fcacfe5e">DensitySummation&lt;DensitySummationInnerType&gt;::Interaction</a>(<span class="keywordtype">size_t</span> index_i, Real dt)</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        {</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            DensitySummationInnerType::Interaction(index_i, dt);</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            Real sigma(0.0);</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            Real inv_Vol_0_i = this-&gt;rho0_ / this-&gt;mass_[index_i];</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; this-&gt;contact_configuration_.size(); ++k)</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            {</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                <a class="code" href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt;Real&gt;</a> &amp;contact_mass_k = *(this-&gt;contact_mass_[k]);</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                Real contact_inv_rho0_k = contact_inv_rho0_[k];</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                <a class="code" href="class_s_p_h_1_1_neighborhood.html">Neighborhood</a> &amp;contact_neighborhood = (*this-&gt;contact_configuration_[k])[index_i];</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n != contact_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#a1e2d0d9c7af09e2ee0e58903b171902d">current_size_</a>; ++n)</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                {</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    sigma += contact_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#aead058787ca24c233d7d6d7825e1dac3">W_ij_</a>[n] * inv_Vol_0_i * contact_inv_rho0_k * contact_mass_k[contact_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#aaec2f984f8c1afd41b2ea98ec7033f99">j_</a>[n]];</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                }</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            }</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            this-&gt;rho_sum_[index_i] += sigma * this-&gt;rho0_ * this-&gt;inv_sigma0_;</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        }</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseViscousAccelerationType&gt;</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseBodyRelationType&gt;</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_viscous_with_wall.html">ViscousWithWall&lt;BaseViscousAccelerationType&gt;::</a></div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_viscous_with_wall.html">			ViscousWithWall</a>(BaseBodyRelationType &amp;base_body_relation,</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                            <a class="code" href="class_s_p_h_1_1_base_body_relation_contact.html">BaseBodyRelationContact</a> &amp;wall_contact_relation)</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            : <a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_relaxation_with_wall.html">RelaxationWithWall</a>&lt;BaseViscousAccelerationType&gt;(base_body_relation, wall_contact_relation) {}</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseViscousAccelerationType&gt;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordtype">void</span> ViscousWithWall&lt;BaseViscousAccelerationType&gt;::Interaction(<span class="keywordtype">size_t</span> index_i, Real dt)</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        {</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            BaseViscousAccelerationType::Interaction(index_i, dt);</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            Real rho_i = this-&gt;rho_[index_i];</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            <span class="keyword">const</span> Vecd &amp;vel_i = this-&gt;vel_[index_i];</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            Vecd acceleration(0), vel_derivative(0);</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; <a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>.size(); ++k)</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            {</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                <a class="code" href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt;Real&gt;</a> &amp;Vol_k = *(this-&gt;wall_Vol_[k]);</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;vel_ave_k = *(this-&gt;wall_vel_ave_[k]);</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                <a class="code" href="class_s_p_h_1_1_neighborhood.html">Neighborhood</a> &amp;contact_neighborhood = (*<a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>[k])[index_i];</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n != contact_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#a1e2d0d9c7af09e2ee0e58903b171902d">current_size_</a>; ++n)</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                {</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                    <span class="keywordtype">size_t</span> index_j = contact_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#aaec2f984f8c1afd41b2ea98ec7033f99">j_</a>[n];</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                    Real r_ij = contact_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#a8a44c2a06d377d53b39479308a86edfc">r_ij_</a>[n];</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                    vel_derivative = 2.0 * (vel_i - vel_ave_k[index_j]) / (r_ij + 0.01 * this-&gt;smoothing_length_);</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                    acceleration += 2.0 * this-&gt;mu_ * vel_derivative * contact_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#aef11606a64385d6a5274d830349b7c82">dW_ij_</a>[n] * Vol_k[index_j] / rho_i;</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                }</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            }</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;            this-&gt;acc_prior_[index_i] += acceleration;</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        }</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseViscousAccelerationType&gt;</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        BaseViscousAccelerationWithWall&lt;BaseViscousAccelerationType&gt;::</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            BaseViscousAccelerationWithWall(ComplexBodyRelation &amp;fluid_wall_relation)</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            : BaseViscousAccelerationType(fluid_wall_relation.inner_relation_,</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                                          fluid_wall_relation.contact_relation_) {}</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseViscousAccelerationType&gt;</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        BaseViscousAccelerationWithWall&lt;BaseViscousAccelerationType&gt;::</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            BaseViscousAccelerationWithWall(BaseBodyRelationInner &amp;fluid_inner_relation,</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                                            BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            : BaseViscousAccelerationType(fluid_inner_relation, wall_contact_relation) {}</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseViscousAccelerationType&gt;</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        BaseViscousAccelerationWithWall&lt;BaseViscousAccelerationType&gt;::</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            BaseViscousAccelerationWithWall(ComplexBodyRelation &amp;fluid_complex_relation,</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                                            BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;            : BaseViscousAccelerationType(fluid_complex_relation, wall_contact_relation) {}</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseBodyRelationType&gt;</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        PressureRelaxation&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;            PressureRelaxation(BaseBodyRelationType &amp;base_body_relation,</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                               BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            : RelaxationWithWall&lt;BasePressureRelaxationType&gt;(base_body_relation, wall_contact_relation) {}</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        <span class="keywordtype">void</span> PressureRelaxation&lt;BasePressureRelaxationType&gt;::Interaction(<span class="keywordtype">size_t</span> index_i, Real dt)</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        {</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;            BasePressureRelaxationType::Interaction(index_i, dt);</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;            FluidState state_i(this-&gt;rho_[index_i], this-&gt;vel_[index_i], this-&gt;p_[index_i]);</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            <a class="code" href="class_vecd.html">Vecd</a> acc_prior_i = computeNonConservativeAcceleration(index_i);</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            <a class="code" href="class_vecd.html">Vecd</a> acceleration(0.0);</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; <a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>.size(); ++k)</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            {</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                <a class="code" href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt;Real&gt;</a> &amp;Vol_k = *(this-&gt;wall_Vol_[k]);</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;vel_ave_k = *(this-&gt;wall_vel_ave_[k]);</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;acc_ave_k = *(this-&gt;wall_acc_ave_[k]);</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;n_k = *(this-&gt;wall_n_[k]);</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;                Neighborhood &amp;wall_neighborhood = (*<a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>[k])[index_i];</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n != wall_neighborhood.current_size_; ++n)</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;                {</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;                    <span class="keywordtype">size_t</span> index_j = wall_neighborhood.j_[n];</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;                    <a class="code" href="class_vecd.html">Vecd</a> &amp;e_ij = wall_neighborhood.e_ij_[n];</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;                    Real dW_ij = wall_neighborhood.dW_ij_[n];</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;                    Real r_ij = wall_neighborhood.r_ij_[n];</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;                    Real face_wall_external_acceleration = dot((acc_prior_i - acc_ave_k[index_j]), -e_ij);</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;                    <a class="code" href="class_vecd.html">Vecd</a> vel_in_wall = 2.0 * vel_ave_k[index_j] - state_i.vel_;</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;                    Real p_in_wall = state_i.p_ + state_i.rho_ * r_ij * SMAX(0.0, face_wall_external_acceleration);</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                    Real rho_in_wall = this-&gt;material_-&gt;DensityFromPressure(p_in_wall);</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                    FluidState state_j(rho_in_wall, vel_in_wall, p_in_wall);</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;                    Real p_star = this-&gt;riemann_solver_.getPStar(state_i, state_j, n_k[index_j]);</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;                    acceleration -= 2.0 * p_star * e_ij * Vol_k[index_j] * dW_ij / state_i.rho_;</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;                }</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            }</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;            this-&gt;acc_[index_i] += acceleration;</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        }</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <a class="code" href="class_vecd.html">Vecd</a> PressureRelaxation&lt;BasePressureRelaxationType&gt;::computeNonConservativeAcceleration(<span class="keywordtype">size_t</span> index_i)</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        {</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;            <span class="keywordflow">return</span> this-&gt;acc_prior_[index_i];</div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;        }</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseBodyRelationType&gt;</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        ExtendPressureRelaxation&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;            ExtendPressureRelaxation(BaseBodyRelationType &amp;base_body_relation,</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                                     BaseBodyRelationContact &amp;wall_contact_relation, Real penalty_strength)</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;            : PressureRelaxation&lt;BasePressureRelaxationType&gt;(base_body_relation, wall_contact_relation),</div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;              penalty_strength_(penalty_strength)</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;        {</div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;            this-&gt;particles_-&gt;registerVariable(non_cnsrv_acc_, <span class="stringliteral">&quot;NonConservativeAcceleration&quot;</span>);</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;        }</div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        <span class="keywordtype">void</span> ExtendPressureRelaxation&lt;BasePressureRelaxationType&gt;::Initialization(<span class="keywordtype">size_t</span> index_i, Real dt)</div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        {</div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;            BasePressureRelaxationType::Initialization(index_i, dt);</div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            non_cnsrv_acc_[index_i] = <a class="code" href="class_vecd.html">Vecd</a>(0);</div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        }</div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation.html#a2b7c7de1450d6dbcd8cd50c8d93a19fa">  215</a></span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation.html#a2b7c7de1450d6dbcd8cd50c8d93a19fa">ExtendPressureRelaxation&lt;BasePressureRelaxationType&gt;::Interaction</a>(<span class="keywordtype">size_t</span> index_i, Real dt)</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;        {</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            <a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_pressure_relaxation.html">PressureRelaxation&lt;BasePressureRelaxationType&gt;::Interaction</a>(index_i, dt);</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            Real rho_i = this-&gt;rho_[index_i];</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;            Real penalty_pressure = this-&gt;p_[index_i];</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;            Vecd acceleration(0);</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; <a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>.size(); ++k)</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;            {</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;                Real particle_spacing_j1 = 1.0 / FluidWallData::contact_bodies_[k]-&gt;sph_adaptation_-&gt;ReferenceSpacing();</div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;                Real particle_spacing_ratio2 = 1.0 / (this-&gt;body_-&gt;sph_adaptation_-&gt;ReferenceSpacing() * particle_spacing_j1);</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;                particle_spacing_ratio2 *= 0.1 * particle_spacing_ratio2;</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;                <a class="code" href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt;Real&gt;</a> &amp;Vol_k = *(this-&gt;wall_Vol_[k]);</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;n_k = *(this-&gt;wall_n_[k]);</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;                <a class="code" href="class_s_p_h_1_1_neighborhood.html">Neighborhood</a> &amp;wall_neighborhood = (*<a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>[k])[index_i];</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n != wall_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#a1e2d0d9c7af09e2ee0e58903b171902d">current_size_</a>; ++n)</div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;                {</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;                    <span class="keywordtype">size_t</span> index_j = wall_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#aaec2f984f8c1afd41b2ea98ec7033f99">j_</a>[n];</div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;                    Vecd &amp;e_ij = wall_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#a782ec6d5487c833710534ac48aa2e63b">e_ij_</a>[n];</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                    Real dW_ij = wall_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#aef11606a64385d6a5274d830349b7c82">dW_ij_</a>[n];</div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;                    Real r_ij = wall_neighborhood.<a class="code" href="class_s_p_h_1_1_neighborhood.html#a8a44c2a06d377d53b39479308a86edfc">r_ij_</a>[n];</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;                    Vecd &amp;n_j = n_k[index_j];</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;</div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;                    Real projection = dot(e_ij, n_j);</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;                    Real delta = 2.0 * projection * r_ij * particle_spacing_j1;</div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;                    Real beta = delta &lt; 1.0 ? (1.0 - delta) * (1.0 - delta) * particle_spacing_ratio2 : 0.0;</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                    <span class="comment">//penalty must be positive so that the penalty force is pointed to fluid inner domain</span></div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;                    Real penalty = penalty_strength_ * beta * fabs(projection * penalty_pressure);</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;                    <span class="comment">//penalty force induced acceleration</span></div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;                    acceleration -= 2.0 * penalty * n_j * Vol_k[index_j] * dW_ij / rho_i;</div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;                }</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;            }</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;            this-&gt;acc_[index_i] += acceleration;</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;        }</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        Vecd <a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation.html">ExtendPressureRelaxation&lt;BasePressureRelaxationType&gt;::</a></div><div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<a class="code" href="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation.html">			computeNonConservativeAcceleration</a>(<span class="keywordtype">size_t</span> index_i)</div><div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        {</div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;            Vecd acceleration = BasePressureRelaxationType::computeNonConservativeAcceleration(index_i);</div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;            non_cnsrv_acc_[index_i] = acceleration;</div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;            <span class="keywordflow">return</span> acceleration;</div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        }</div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        BasePressureRelaxationWithWall&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;            BasePressureRelaxationWithWall(<a class="code" href="class_s_p_h_1_1_complex_body_relation.html">ComplexBodyRelation</a> &amp;fluid_wall_relation)</div><div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;            : BasePressureRelaxationType(fluid_wall_relation.inner_relation_,</div><div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;                                         fluid_wall_relation.contact_relation_) {}</div><div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;        BasePressureRelaxationWithWall&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;            BasePressureRelaxationWithWall(BaseBodyRelationInner &amp;fluid_inner_relation,</div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;                                           BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;            : BasePressureRelaxationType(fluid_inner_relation,</div><div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;                                         wall_contact_relation) {}</div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        BasePressureRelaxationWithWall&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;            BasePressureRelaxationWithWall(ComplexBodyRelation &amp;fluid_complex_relation,</div><div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;                                           BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;            : BasePressureRelaxationType(fluid_complex_relation,</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;                                         wall_contact_relation) {}</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        ExtendPressureRelaxationWithWall&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;            ExtendPressureRelaxationWithWall(ComplexBodyRelation &amp;fluid_wall_relation, Real penalty_strength)</div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;            : BasePressureRelaxationType(fluid_wall_relation.inner_relation_,</div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;                                         fluid_wall_relation.contact_relation_, penalty_strength) {}</div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;        ExtendPressureRelaxationWithWall&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;            ExtendPressureRelaxationWithWall(BaseBodyRelationInner &amp;fluid_inner_relation,</div><div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;                                             BaseBodyRelationContact &amp;wall_contact_relation, Real penalty_strength)</div><div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;            : BasePressureRelaxationType(fluid_inner_relation,</div><div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;                                         wall_contact_relation, penalty_strength) {}</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BasePressureRelaxationType&gt;</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;        ExtendPressureRelaxationWithWall&lt;BasePressureRelaxationType&gt;::</div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;            ExtendPressureRelaxationWithWall(ComplexBodyRelation &amp;fluid_complex_relation,</div><div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;                                             BaseBodyRelationContact &amp;wall_contact_relation, Real penalty_strength)</div><div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;            : BasePressureRelaxationType(fluid_complex_relation,</div><div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;                                         wall_contact_relation, penalty_strength) {}</div><div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseDensityRelaxationType&gt;</div><div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseBodyRelationType&gt;</div><div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;        <a class="code" href="class_density_relaxation.html">DensityRelaxation&lt;BaseDensityRelaxationType&gt;::</a></div><div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;<a class="code" href="class_density_relaxation.html">			DensityRelaxation</a>(BaseBodyRelationType &amp;base_body_relation,</div><div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;                              BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;            : RelaxationWithWall&lt;BaseDensityRelaxationType&gt;(base_body_relation, wall_contact_relation) {}</div><div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseDensityRelaxationType&gt;</div><div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_density_relaxation.html">DensityRelaxation&lt;BaseDensityRelaxationType&gt;::Interaction</a>(<span class="keywordtype">size_t</span> index_i, Real dt)</div><div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        {</div><div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;            BaseDensityRelaxationType::Interaction(index_i, dt);</div><div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;</div><div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;            FluidState state_i(this-&gt;rho_[index_i], this-&gt;vel_[index_i], this-&gt;p_[index_i]);</div><div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;            Real density_change_rate = 0.0;</div><div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; <a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>.size(); ++k)</div><div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;            {</div><div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;                <a class="code" href="class_vecd.html">Vecd</a> &amp;acc_prior_i = this-&gt;acc_prior_[index_i];</div><div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;</div><div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;                <a class="code" href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt;Real&gt;</a> &amp;Vol_k = *(this-&gt;wall_Vol_[k]);</div><div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;vel_ave_k = *(this-&gt;wall_vel_ave_[k]);</div><div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;acc_ave_k = *(this-&gt;wall_acc_ave_[k]);</div><div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;                <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;n_k = *(this-&gt;wall_n_[k]);</div><div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;                Neighborhood &amp;wall_neighborhood = (*<a class="code" href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">FluidWallData::contact_configuration_</a>[k])[index_i];</div><div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n != wall_neighborhood.current_size_; ++n)</div><div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;                {</div><div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;                    <span class="keywordtype">size_t</span> index_j = wall_neighborhood.j_[n];</div><div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;                    <a class="code" href="class_vecd.html">Vecd</a> &amp;e_ij = wall_neighborhood.e_ij_[n];</div><div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;                    Real r_ij = wall_neighborhood.r_ij_[n];</div><div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;                    Real dW_ij = wall_neighborhood.dW_ij_[n];</div><div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;</div><div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;                    Real face_wall_external_acceleration = dot((acc_prior_i - acc_ave_k[index_j]), -e_ij);</div><div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;                    <a class="code" href="class_vecd.html">Vecd</a> vel_in_wall = 2.0 * vel_ave_k[index_j] - state_i.vel_;</div><div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;                    Real p_in_wall = state_i.p_ + state_i.rho_ * r_ij * SMAX(0.0, face_wall_external_acceleration);</div><div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;                    Real rho_in_wall = this-&gt;material_-&gt;DensityFromPressure(p_in_wall);</div><div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;                    FluidState state_j(rho_in_wall, vel_in_wall, p_in_wall);</div><div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;                    <a class="code" href="class_vecd.html">Vecd</a> vel_star = this-&gt;riemann_solver_.getVStar(state_i, state_j, n_k[index_j]);</div><div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;                    density_change_rate += 2.0 * state_i.rho_ * Vol_k[index_j] * dot(state_i.vel_ - vel_star, e_ij) * dW_ij;</div><div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;                }</div><div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;            }</div><div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;            this-&gt;drho_dt_[index_i] += density_change_rate;</div><div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;        }</div><div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseDensityRelaxationType&gt;</div><div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;        BaseDensityRelaxationWithWall&lt;BaseDensityRelaxationType&gt;::</div><div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;            BaseDensityRelaxationWithWall(ComplexBodyRelation &amp;fluid_wall_relation)</div><div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;            : <a class="code" href="class_density_relaxation.html">DensityRelaxation</a>&lt;BaseDensityRelaxationType&gt;(fluid_wall_relation.inner_relation_,</div><div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;                                                           fluid_wall_relation.contact_relation_) {}</div><div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseDensityRelaxationType&gt;</div><div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;        BaseDensityRelaxationWithWall&lt;BaseDensityRelaxationType&gt;::</div><div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;            BaseDensityRelaxationWithWall(BaseBodyRelationInner &amp;fluid_inner_relation,</div><div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;                                          BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;            : <a class="code" href="class_density_relaxation.html">DensityRelaxation</a>&lt;BaseDensityRelaxationType&gt;(fluid_inner_relation,</div><div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;                                                           wall_contact_relation) {}</div><div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> BaseDensityRelaxationType&gt;</div><div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;        BaseDensityRelaxationWithWall&lt;BaseDensityRelaxationType&gt;::</div><div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;            BaseDensityRelaxationWithWall(ComplexBodyRelation &amp;fluid_complex_relation,</div><div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;                                          BaseBodyRelationContact &amp;wall_contact_relation)</div><div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;            : <a class="code" href="class_density_relaxation.html">DensityRelaxation</a>&lt;BaseDensityRelaxationType&gt;(fluid_complex_relation, wall_contact_relation) {}</div><div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;        <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;    }</div><div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;    <span class="comment">//=================================================================================================//</span></div><div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;}</div><div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;<span class="comment">//=================================================================================================//</span></div><div class="ttc" id="class_s_p_h_1_1_neighborhood_html"><div class="ttname"><a href="class_s_p_h_1_1_neighborhood.html">SPH::Neighborhood</a></div><div class="ttdoc">A neighborhood around particle i. </div><div class="ttdef"><b>Definition:</b> neighbor_relation.h:47</div></div>
<div class="ttc" id="class_std_large_vec_3_01_real_01_4_html"><div class="ttname"><a href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt; Real &gt;</a></div></div>
<div class="ttc" id="class_s_p_h_1_1_base_body_relation_contact_html"><div class="ttname"><a href="class_s_p_h_1_1_base_body_relation_contact.html">SPH::BaseBodyRelationContact</a></div><div class="ttdoc">The base relation between a SPH body and its contact SPH bodies. </div><div class="ttdef"><b>Definition:</b> base_body_relation.h:136</div></div>
<div class="ttc" id="class_s_p_h_1_1_neighborhood_html_a1e2d0d9c7af09e2ee0e58903b171902d"><div class="ttname"><a href="class_s_p_h_1_1_neighborhood.html#a1e2d0d9c7af09e2ee0e58903b171902d">SPH::Neighborhood::current_size_</a></div><div class="ttdeci">size_t current_size_</div><div class="ttdef"><b>Definition:</b> neighbor_relation.h:50</div></div>
<div class="ttc" id="class_density_relaxation_html"><div class="ttname"><a href="class_density_relaxation.html">DensityRelaxation</a></div><div class="ttdoc">template density relaxation scheme without using different Riemann solvers. The difference from the f...</div></div>
<div class="ttc" id="class_s_p_h_1_1_neighborhood_html_a8a44c2a06d377d53b39479308a86edfc"><div class="ttname"><a href="class_s_p_h_1_1_neighborhood.html#a8a44c2a06d377d53b39479308a86edfc">SPH::Neighborhood::r_ij_</a></div><div class="ttdeci">StdLargeVec&lt; Real &gt; r_ij_</div><div class="ttdef"><b>Definition:</b> neighbor_relation.h:56</div></div>
<div class="ttc" id="class_std_large_vec_3_01_vecd_01_4_html"><div class="ttname"><a href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt; Vecd &gt;</a></div></div>
<div class="ttc" id="class_s_p_h_1_1_neighborhood_html_a782ec6d5487c833710534ac48aa2e63b"><div class="ttname"><a href="class_s_p_h_1_1_neighborhood.html#a782ec6d5487c833710534ac48aa2e63b">SPH::Neighborhood::e_ij_</a></div><div class="ttdeci">StdLargeVec&lt; Vecd &gt; e_ij_</div><div class="ttdef"><b>Definition:</b> neighbor_relation.h:57</div></div>
<div class="ttc" id="class_s_p_h_1_1_data_delegate_contact_html_a3f1efc9b04436cbe130e313b213d37a0"><div class="ttname"><a href="class_s_p_h_1_1_data_delegate_contact.html#a3f1efc9b04436cbe130e313b213d37a0">SPH::DataDelegateContact::contact_configuration_</a></div><div class="ttdeci">StdVec&lt; ParticleConfiguration * &gt; contact_configuration_</div><div class="ttdef"><b>Definition:</b> base_particle_dynamics.h:251</div></div>
<div class="ttc" id="class_s_p_h_1_1eulerian__compressible__fluid__dynamics_1_1_base_relaxation_type_html"><div class="ttname"><a href="class_s_p_h_1_1eulerian__compressible__fluid__dynamics_1_1_base_relaxation_type.html">BaseRelaxationType</a></div></div>
<div class="ttc" id="class_s_p_h_1_1_neighborhood_html_aead058787ca24c233d7d6d7825e1dac3"><div class="ttname"><a href="class_s_p_h_1_1_neighborhood.html#aead058787ca24c233d7d6d7825e1dac3">SPH::Neighborhood::W_ij_</a></div><div class="ttdeci">StdLargeVec&lt; Real &gt; W_ij_</div><div class="ttdef"><b>Definition:</b> neighbor_relation.h:54</div></div>
<div class="ttc" id="class_s_p_h_1_1fluid__dynamics_1_1_pressure_relaxation_html"><div class="ttname"><a href="class_s_p_h_1_1fluid__dynamics_1_1_pressure_relaxation.html">SPH::fluid_dynamics::PressureRelaxation</a></div><div class="ttdoc">template class pressure relaxation scheme with wall boundary </div><div class="ttdef"><b>Definition:</b> fluid_dynamics_complex.h:153</div></div>
<div class="ttc" id="class_s_p_h_1_1fluid__dynamics_1_1_density_summation_html_a7ecc6454a2f9fad88aa13667fcacfe5e"><div class="ttname"><a href="class_s_p_h_1_1fluid__dynamics_1_1_density_summation.html#a7ecc6454a2f9fad88aa13667fcacfe5e">SPH::fluid_dynamics::DensitySummation::Interaction</a></div><div class="ttdeci">virtual void Interaction(size_t index_i, Real dt=0.0) override</div><div class="ttdef"><b>Definition:</b> fluid_dynamics_complex.hpp:76</div></div>
<div class="ttc" id="class_s_p_h_1_1_neighborhood_html_aef11606a64385d6a5274d830349b7c82"><div class="ttname"><a href="class_s_p_h_1_1_neighborhood.html#aef11606a64385d6a5274d830349b7c82">SPH::Neighborhood::dW_ij_</a></div><div class="ttdeci">StdLargeVec&lt; Real &gt; dW_ij_</div><div class="ttdef"><b>Definition:</b> neighbor_relation.h:55</div></div>
<div class="ttc" id="class_s_p_h_1_1_complex_body_relation_html"><div class="ttname"><a href="class_s_p_h_1_1_complex_body_relation.html">SPH::ComplexBodyRelation</a></div><div class="ttdoc">The relation combined an inner and a contact body relation. The interaction is in a inner-boundary-co...</div><div class="ttdef"><b>Definition:</b> complex_body_relation.h:42</div></div>
<div class="ttc" id="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation_html"><div class="ttname"><a href="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation.html">SPH::fluid_dynamics::ExtendPressureRelaxation</a></div><div class="ttdoc">template class for pressure relaxation scheme with wall boundary and considering non-conservative acc...</div><div class="ttdef"><b>Definition:</b> fluid_dynamics_complex.h:174</div></div>
<div class="ttc" id="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation_html_a2b7c7de1450d6dbcd8cd50c8d93a19fa"><div class="ttname"><a href="class_s_p_h_1_1fluid__dynamics_1_1_extend_pressure_relaxation.html#a2b7c7de1450d6dbcd8cd50c8d93a19fa">SPH::fluid_dynamics::ExtendPressureRelaxation::Interaction</a></div><div class="ttdeci">virtual void Interaction(size_t index_i, Real dt=0.0) override</div><div class="ttdef"><b>Definition:</b> fluid_dynamics_complex.hpp:215</div></div>
<div class="ttc" id="class_vecd_html"><div class="ttname"><a href="class_vecd.html">Vecd</a></div></div>
<div class="ttc" id="class_s_p_h_1_1fluid__dynamics_1_1_relaxation_with_wall_html"><div class="ttname"><a href="class_s_p_h_1_1fluid__dynamics_1_1_relaxation_with_wall.html">SPH::fluid_dynamics::RelaxationWithWall</a></div><div class="ttdoc">Abstract base class for general relaxation algorithms with wall. </div><div class="ttdef"><b>Definition:</b> fluid_dynamics_complex.h:57</div></div>
<div class="ttc" id="class_s_p_h_1_1fluid__dynamics_1_1_viscous_with_wall_html"><div class="ttname"><a href="class_s_p_h_1_1fluid__dynamics_1_1_viscous_with_wall.html">SPH::fluid_dynamics::ViscousWithWall</a></div><div class="ttdoc">template class viscous acceleration with wall boundary </div><div class="ttdef"><b>Definition:</b> fluid_dynamics_complex.h:99</div></div>
<div class="ttc" id="fluid__dynamics__complex_8h_html"><div class="ttname"><a href="fluid__dynamics__complex_8h.html">fluid_dynamics_complex.h</a></div><div class="ttdoc">Here, we define the algorithm classes for complex fluid dynamics, which is involving with either soli...</div></div>
<div class="ttc" id="class_s_p_h_1_1_neighborhood_html_aaec2f984f8c1afd41b2ea98ec7033f99"><div class="ttname"><a href="class_s_p_h_1_1_neighborhood.html#aaec2f984f8c1afd41b2ea98ec7033f99">SPH::Neighborhood::j_</a></div><div class="ttdeci">StdLargeVec&lt; size_t &gt; j_</div><div class="ttdef"><b>Definition:</b> neighbor_relation.h:53</div></div>
<div class="ttc" id="namespace_s_p_h_html"><div class="ttname"><a href="namespace_s_p_h.html">SPH</a></div><div class="ttdef"><b>Definition:</b> solid_body_supplementary.cpp:9</div></div>
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